" If "tan(pi cos theta)=cot(pi sin theta)," prove that "cos(theta-(pi)/(4))=+-(1)/(2sqrt(2))

If tan (pi cos theta)= cot(pi sin theta) , prove that cos (theta-pi/4)= +- 1/(2 sqrt2) .

(i) If sin(pi/2costheta) = cos(pi/2 sin theta) , show that, +- cos(theta + pi/4) =(4n+1)/sqrt(2) where n= any integer. (ii) If tan(pi cos theta) = cot(pi sin theta) , prove that, cos(theta - pi/4) = (2n+1)/(2sqrt(2)), n=0, -1,1,-2,2 ,............

If tan (pi cos theta)= cot (pi sin theta) , show that cos (theta-(pi)/(4))=+- (1)/(2sqrt(2))

If tan(pi cos theta)=cot(pi sin theta) then sin(theta+(pi)/(4)) equals

If tan (pi cos theta) = cot (pi sin theta), then the valus of cos (theta -(pi)/(4)) are-

IF tan ( pi cos theta) = cot ( pi sin theta ) then cos ( theta - (pi)/(4)) is equal to